If a rocket with a mass of #2000# #"tons"# vertically accelerates at a rate of #"14 m/s"^2#, how much power will the rocket have to exert to maintain its acceleration at 7 seconds?

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Answer 1 · 2017-07-01T05:39:58

The power is #=2744MW#

We apply Newton's Second Law to find the force

#F=ma#

The mass is #m=2000*1000kg=2*10^6kg#

The acceleration is #a=14ms^-2#

The force is

#F=ma=2*10^6*14=28*10^6N#

We apply the equation of motion

#v=u+at#

to calculate the speed at #t=7s#

#v=0+14*7=98ms^-1#

The power is

#P=Fv#

#P=2810^6*98=2744*10^6W#

#=2744MW#